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**Lecture 31: Mid-Term Review**

ENGI 1313 Mechanics I Lecture 31: Mid-Term Review

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**Overall Mid-Term Results**

Class Statistics (259) Average 67% Standard deviation 17% Standard deviation between sections 3% Solution Posted

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**Term A/B Exam (Mon. Oct 22) Results are not Back Student Numbers**

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**No Record of Mid-Term Exam**

Contact Me Immediately to Resolve Student Numbers

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Problem 1 Determine the components of the F force acting along the u and v axes. Given: 1 = 70 2 = 45 3 = 60 F = 250N

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**Problem 1 (cont.) Problem Characteristics Solution Method**

Force vectors No right rectangular coordinate system Forces on specified axes Solution Method Parallelogram or triangle construction Law of sines

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Problem 1 (cont.) Force Triangle Fv F = 250 N 1 = 70 2 = 45 Fu

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Problem 2 The three cables are used to support the lamp of weight W. Determine the force developed in each cable for equilibrium. Given: a = 4 m b = 4 m c = 2 m W = 600 N 4 m 2 m 4 m W = 600 N

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**Problem 2 (cont.) Problem Characteristics Solution Method**

Particle Equilibrium Scalar or vector approach Solution Method Summation of Forces 4 m 2 m 4 m W = 600 N

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**Problem 2 (cont.) FBD and Unit Vectors FAD 4 m 2 m 4 m FAB FAC**

W = 600 N

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**Problem 2 (cont.) Equilibrium Equation Three Equations FAD 4 m 2 m 4 m**

FAB FAC W = 600 N

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Problem 3 Force F is applied to the handle of the wrench. Determine the angle between the tail of the force F and the handle AB. Given: a = 0.30 m b = 0.50 m F = 80 N 1 = 30 2 = 45 F = 80N 1 2 0.3 m 0.5 m

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**Problem 3 (cont.) Problem Characteristics Solution Method**

Vector projection Solution Method Dot product F = 80N 1 2 0.3 m 0.5 m

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**Problem 3 (cont.) Unit Vectors Dot Product F = 80N 30 0.3 m 0.5 m**

45 0.3 m 0.5 m

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Problem 4 The hood of the automobile is supported by the strut AB, which exerts a force F on the hood. Determine the moment of this force about the hinged axis y. Given: a = 0.60 m b = 1.50 m c = 0.25 m d = 1.00 m F = 100 N

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**Problem 4 (cont.) Problem Characteristics Solution Method**

Moment about a specified axis Solution Method Triple scalar product

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Problem 4 (cont.) Unit Vector Moment about Y-axis

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Shawn Kenny, Ph.D., P.Eng. Assistant Professor Faculty of Engineering and Applied Science Memorial University of Newfoundland ENGI.

Shawn Kenny, Ph.D., P.Eng. Assistant Professor Faculty of Engineering and Applied Science Memorial University of Newfoundland ENGI.

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